42936192 has 192 divisors, whose sum is σ = 138116160. Its totient is φ = 12718080.

The previous prime is 42936161. The next prime is 42936199. The reversal of 42936192 is 29163924.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42936199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 703842 + ... + 703902.

It is an arithmetic number, because the mean of its divisors is an integer number (719355).

Almost surely, 2^42936192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42936192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69058080).

42936192 is an abundant number, since it is smaller than the sum of its proper divisors (95179968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42936192 is a wasteful number, since it uses less digits than its factorization.

42936192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 126 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 42936192 is about 6552.5714036552. The cubic root of 42936192 is about 350.1664296914.

The spelling of 42936192 in words is "forty-two million, nine hundred thirty-six thousand, one hundred ninety-two".